25.(-4)-54:9+(-48):(-8)
tính hợp lí
Tính:
9 + 1 = … | 15 – 4 = … | 4 + 4 = … | 25 + 2 = … |
6 – 3 = … | 11 + 7 = … | 8 – 4 = … | 48 – 6 = … |
2 + 7 = … | 10 – 2 = … | 8 – 0 = … | 54 + 3 = … |
Lời giải chi tiết:
9 + 1 = 10 | 15 – 4 = 11 | 4 + 4 = 8 | 25 + 2 = 27 |
6 – 3 = 3 | 11 + 7 = 18 | 8 – 4 = 4 | 48 – 6 = 42 |
2 + 7 = 9 | 10 – 2 = 8 | 8 – 0 = 8 | 54 + 3 = 57 |
Bài 2: Tính hợp lí
1) 125.(-24) + 24.225
2) 512.(2 – 128) – 128. (-512)
3) (187 -23) – (20 – 180)
4) (-37 – 17). (-9) + 35. (-9 – 11)
5) (-50 +19 +143) – (-79 + 25 + 48)
6) (-8).25.(-2). 4. (-5).125
7) 3784 + 23 – 3785 – 15
8) 215 +(-38) – (-58) –15
9) 5.(-3)2 –14.(-8)+(-40)
10) 215 + (-38) – (- 58) + 90 – 852)
Bài 3*: Tìm các cặp số nguyên (x;y) thỏa mãn xy2 + 2x – y2 =
1) 125.(-24) + 24.225.
\(=24\left(-125+225\right)=24.100=2400.\)
2) 512.(2 – 128) – 128. (-512).
\(=512\left(2-128+128\right)=512.2=1024.\)
bài 5: tính giá trị biểu thức sau một cách hợp lí
A = -7/21 + ( 1+1/3) B=2/15 +(5/9+ -6/9)
C=9-1/5 + 3/12 ) + -3/4
bài 6
a) x + 7/8 = 13/12 b) - (-6)/12 - x = 9/48
c) x+ 4/6 = 5/25 - (-7)/15 c) x + 4/5 = 6/20 - (-7)/3
`5`
`a, -7/21 +(1+1/3)`
`=-7/21 + ( 3/3 + 1/3)`
`=-7/21+ 4/3`
`=-7/21+ 28/21`
`= 21/21`
`=1`
`b, 2/15 + ( 5/9 + (-6)/9)`
`= 2/15 + (-1/9)`
`= 1/45`
`c, (9-1/5+3/12) +(-3/4)`
`= ( 45/5-1/5 + 3/12)+(-3/4)`
`= ( 44/5 + 3/12)+(-3/4)`
`= 9,05 +(-0,75)`
`=8,3`
`6`
`x+7/8 =13/12`
`=>x= 13/12 -7/8`
`=>x=5/24`
`-------`
`-(-6)/12 -x=9/48`
`=> 6/12 -x=9/48`
`=>x= 6/12-9/48`
`=>x=5/16`
`---------`
`x+4/6 =5/25 -(-7)/15`
`=>x+4/6 =1/5 + 7/15`
`=> x+ 4/6=10/15`
`=>x=10/15 -4/6`
`=>x=0`
`----------`
`x+4/5 = 6/20 -(-7)/3`
`=>x+4/5 = 6/20 +7/3`
`=>x+4/5 = 79/30`
`=>x=79/30 -4/5`
`=>x= 79/30-24/30`
`=>x= 55/30`
`=>x= 11/6`
\(5)\)
\(A=\dfrac{-7}{21}+\left(1+\dfrac{1}{3}\right)\)
\(A=\dfrac{-7}{21}+\dfrac{4}{3}\)
\(A=\dfrac{-7}{21}+\dfrac{28}{21}\)
\(A=1\)
\(--------------\)
\(B=\dfrac{2}{15}+\left(\dfrac{5}{9}+\dfrac{-6}{9}\right)\)
\(B=\dfrac{2}{15}+\dfrac{-1}{9}\)
\(B=\dfrac{18}{135}+\dfrac{-15}{135}\)
\(B=\dfrac{1}{45}\)
\(------------\)
\(C=9-\dfrac{1}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)
\(C=\dfrac{44}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)
\(C=\dfrac{528}{60}+\dfrac{15}{60}+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-15}{20}\)
\(C=\dfrac{83}{10}\)
\(6)\)
\(a)\) \(x+\dfrac{7}{8}=\dfrac{13}{12}\)
\(x=\dfrac{13}{12}-\dfrac{7}{8}\)
\(x=\dfrac{104}{96}-\dfrac{84}{96}\)
\(x=\dfrac{5}{24}\)
\(b)\) \(\dfrac{-6}{12}-x=\dfrac{9}{48}\)
\(\dfrac{-1}{2}-x=\dfrac{3}{16}\)
\(x=\dfrac{-1}{2}-\dfrac{3}{16}\)
\(x=\dfrac{-8}{16}-\dfrac{3}{16}\)
\(x=\dfrac{-11}{16}\)
\(c)\) \(x+\dfrac{4}{6}=\dfrac{5}{25}-\left(-\dfrac{7}{15}\right)\)
\(x+\dfrac{4}{6}=\dfrac{5}{25}+\dfrac{7}{15}\)
\(x+\dfrac{4}{6}=\dfrac{75}{375}+\dfrac{105}{375}\)
\(x+\dfrac{4}{6}=\dfrac{12}{25}\)
\(x=\dfrac{12}{25}-\dfrac{4}{6}\)
\(x=\dfrac{72}{150}-\dfrac{100}{150}\)
\(x=\dfrac{-14}{75}\)
\(d)\) \(x+\dfrac{4}{5}=\dfrac{6}{20}-\left(-\dfrac{7}{3}\right)\)
\(x+\dfrac{4}{5}=\dfrac{6}{20}+\dfrac{7}{3}\)
\(x+\dfrac{4}{5}=\dfrac{18}{60}+\dfrac{140}{60}\)
\(x+\dfrac{4}{5}=\dfrac{79}{30}\)
\(x=\dfrac{79}{30}-\dfrac{4}{5}\)
\(x=\dfrac{79}{30}-\dfrac{24}{30}\)
\(x=\dfrac{11}{6}\)
Giải:
\(A=\dfrac{-7}{21}+\left(1+\dfrac{1}{3}\right)\)
\(A=\dfrac{-7}{21}+\dfrac{4}{3}\)
\(A=\dfrac{-7}{21}+\dfrac{28}{21}\)
\(A=\dfrac{21}{21}=1\)
\(B=\dfrac{2}{15}+\left(\dfrac{5}{9}+\dfrac{-6}{9}\right)\)
\(B=\dfrac{2}{15}+\dfrac{-1}{9}\)
\(B=\dfrac{6}{45}+\dfrac{-5}{45}\)
\(B=\dfrac{1}{45}\)
\(C=\left(9-\dfrac{1}{5}+\dfrac{3}{12}\right)+\dfrac{-3}{4}\)
\(C=\left(\dfrac{44}{5}+\dfrac{1}{4}\right)+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-15}{20}\)
\(C=\dfrac{166}{20}\)
Bài 6:
\(a)x+\dfrac{7}{8}=\dfrac{13}{12}\)
⇔\(x=\dfrac{13}{12}-\dfrac{7}{8}=\dfrac{5}{24}\)
\(b)\dfrac{-6}{12}-x=\dfrac{9}{48}\)
⇔\(x=\dfrac{-6}{12}-\dfrac{9}{48}=\dfrac{-11}{16}\)
\(c)x+\dfrac{4}{6}=\dfrac{5}{25}-\dfrac{-7}{15}\)
\(\Leftrightarrow x+\dfrac{2}{3}=\dfrac{2}{3}\)
\(\Leftrightarrow x=\dfrac{2}{3}-\dfrac{2}{3}=0\)
\(d)x+\dfrac{4}{5}=\dfrac{6}{20}-\dfrac{-7}{3}\)
⇔\(x+\dfrac{4}{5}=\dfrac{79}{30}\)
⇔\(x=\dfrac{79}{30}-\dfrac{4}{5}=\dfrac{11}{6}\)
Bài 2 : Thục hiện phép tính : ( hợp lí nếu có thể)
a) ( -132) + ( 176 + 132)
b) 25 . (-5) . 4 .(-8)
c) (-37) . 52 + 37 . (-48)
d) 54 - 8.(6 - 23 )
e) (-85) . 13 + 85 . 113
f) 2008 -
(107 + 2008) -75
a) -132 + (176+132)
= -132+176+132
= -132+132+176
=0+176
= 176
b) 25. (-5).4.(-8)
= (25.4).[-5.(-8)]
= 100 . 40
= 4000
c) -37.52+37. (-48)
= -37.52+(-37).48
= -37.(52+48)
= -37.100
= -3700
d) 54 - 8.(6-23)
= 54 - 8. (-17)
= 54 - (-136)
= 54 + 136
= 190
e) -85 . 13 + 85 . 113
= 85 . (-13) + 85 . 113
= 85. (-13 + 113)
= 85.100
= 8500
f)2008-(107+2008)-75
= 2008 - 107 - 2008 - 75
= 2008 - 2008 - 107 - 75
= -107 - 75
= -182
3/ Tính hợp lí :
a/ (- 25).(- 125).(- 4). (- 8)
b/ (- 50).(- 80).(- 2).(- 9)
\(a/ (- 25).(- 125).(- 4). (- 8)=[(-25).(-4)].[(-125).(-8)] =100.1000=100000\)
a/(−25).(−125).(−4).(−8)
= [(−25).(−4)].[(−125).(−8)]
= 100.1000
=100000
b/ (-50) . (-80) . (-2) . (-9)
= [(-50) . (-20)] . [ (-80) . (-9) ]
= 100 . 720
= 72000
tính 1 cách hợp lí
A=-25*(35+147)+35*(25+147)
B=125*9*(-4)*(-8)*25*7
tính hợp lí 25+37-48-25-27
\(25+37-48-25-27\)
\(=\left(25-25\right)+\left(37-27\right)+\left(-48\right)\)
\(=0+10+\left(-48\right)\)
\(=-38\)
\(#wee\)
Tính hợp lí
1/ 45. 18 – 5. 9. 28
2/ 54 – 6. (12 + 9)
3/ 23. (16 – 5) – 16. (23 - 5)
4/ 29. (2019 – 13) – 2019. (29 – 13)
5/ 31. (-18) + 31. ( - 80) – 31.2
6/ (-12).48 + (-12). 51 + (-12)
7/ 13.(20 + 22) – 3.(17 + 25)
8/ -48 + 48. (-75) + 48.(-24)
1/ 45. 18 - 5. 9. 28
= 45. 18 - (5. 9) . 28
= 45.18 - 45 .28
= 45. ( 18 - 28)
= 45. ( -10)
= -450
2/ 54 - 6. (12 + 9)
= 54 - 6. 9 + 6. 12
= 54 - 54 + 6. 12
= 0 + 6. 12
= 72
tính hợp lí :
a) -3 + 7 - 9 - 54 + 3 + 50 + 13
b) -8(21-13+72)+80.(-21+76-132)
mn giúp mk gấp nhé ^^
a: =(-3+3)+(7+13)+(-9+50-54)
=20-13
=7
b: \(=-8\cdot21+8\cdot13-8\cdot72-80\cdot21+80\cdot76-80\cdot132\)
=-6800
a: =(-3+3)+(7+13)+(-9+50-54)
=20-13
=7
b: =−8⋅21+8⋅13−8⋅72−80⋅21+80⋅76−80⋅132=−8⋅21+8⋅13−8⋅72−80⋅21+80⋅76−80⋅132
=-6800